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The human resources manager at a company records the length, in hours, of one shift at work, X. He creates the probability
distribution below. What is the probability that a worker chosen at random works at least 8 hours?

Answer :

Edufirst

Answer:

  • You need to estimate: approximately 0.84

Explanation:

Please, find attached a figure with the complete question, including the probability distribution.

Solution

The graph does not permit to read exact values, thus you must estimate.

  • P(X=6) ≈ 0.03
  • P(X=7) ≈ 0.13
  • P(X=8) ≈ 0.62
  • P(X=9) ≈ 0.14
  • P(X=10) ≈ 0.08

P(X ≥ 8) = P(X=8) + P(X=9) + P(X=10)

  • P(X≥8) ≈ 0.62 + 0.14 + 0.08 = 0.84
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